Finding the Fourth Proportional to 10,475.89, 14,456.68 and 5,760.16

Step by Step Solution

1. Step 1: Write the proportion equation
   10,475.89 : 14,456.68 = 5,760.16 : x
2. Step 2: Convert to fraction form
   10,475.89/14,456.68 = 5,760.16/x
3. Step 3: Cross multiply
   10,475.89x = 14,456.68 × 5,760.16
4. Step 4: Simplify right side
   10,475.89x = 83,272,739.33
5. Step 5: Solve for x
   x = 83,272,739.33/10,475.89
6. Step 6: Final answer
   x = 7,948.99